Russian Physics Journal

, Volume 49, Issue 4, pp 364–378 | Cite as

Two regularization types as two different Nambu-Iona-Lasinio models

  • R. G. Jafarov
  • V. E. Rochev


The Nambu-Iona-Lasinio models with 4-dimensional cutting and dimensional-analytical regularization types are compared. It is demonstrated that they describe two different models of light quark interaction. In the average-field approximation, the behavior of the scalar amplitude differs in the threshold region. Unlike the 4-dimensional cutting regularization in which the pole term corresponding to a sigma-meson can be separated near the threshold, the singularity of the scalar amplitude in the dimensional-analytical regularization is non-pole; moreover, it disappears completely for a certain value of the regularization parameter. One more significant difference between the two models is in the first-order expansion of the average field. The calculated meson contributions to the quark chiral condensate and dynamic quark mass demonstrate that despite their relative smallness, they can destabilize the Nambu-Iona-Lasinio model with 4-dimensional cutting regularization. On the contrary, the model with dimensional-analytical regularization is stabilized, which is manifested through a shift of regularization parameter values toward the stability region in which the contributions themselves decrease.


Quark Mass Regularization Parameter Chiral Symmetry Dimensional Regularization Chiral Condensate 
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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • R. G. Jafarov
    • 1
  • V. E. Rochev
    • 1
  1. 1.Baku State UniversityRussia

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